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On the moments of the modified Weibull distribution [An article from: Reliability Engineering and System Safety]
Book Details
Author(s)S. Nadarajah
PublisherElsevier
ISBN / ASINB000RR5V9G
ISBN-13978B000RR5V90
MarketplaceFrance 🇫🇷
Description
This digital document is a journal article from Reliability Engineering and System Safety, published by Elsevier in . The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.
Description:
In a recent paper, Xie et al. [Reliab Eng Syst Saf 2002;76:279-85] proposed a modification of the Weibull distribution to allow it to exhibit bathtub-shaped failure rate functions. In this note, we derive explicit algebraic formulas for the kth moment of the distribution. The formulas allow one to calculate the moments for a wide range of values of k and the shape parameter of the modified Weibull. They also allow one to calculate the moments more easily with less computational time. Besides being of interest in their own, we believe that these formulas will be useful for any follow-up mathematical study of the proposed distribution.
Description:
In a recent paper, Xie et al. [Reliab Eng Syst Saf 2002;76:279-85] proposed a modification of the Weibull distribution to allow it to exhibit bathtub-shaped failure rate functions. In this note, we derive explicit algebraic formulas for the kth moment of the distribution. The formulas allow one to calculate the moments for a wide range of values of k and the shape parameter of the modified Weibull. They also allow one to calculate the moments more easily with less computational time. Besides being of interest in their own, we believe that these formulas will be useful for any follow-up mathematical study of the proposed distribution.
